What is factor 72x^7y^5+48x^3y^3 ?

The solution to factor 72x^7y^5+48x^3y^3 is 24x^3y^3(3x^4y^2+2)

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factor 72x^7y^5+48x^3y^3

factor

72 x^{7} y^{5} + 48 x^{3} y^{3}

24 x^{3} y^{3} (3 x^{4} y^{2} + 2)

Solution steps

72 x^{7} y^{5} + 48 x^{3} y^{3}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{7} y^{5} = x^{3} x^{4} y^{3} y^{2}

= 72 x^{3} x^{4} y^{3} y^{2} + 48 x^{3} y^{3}

Rewrite

48

2 \cdot 24

Rewrite

72

3 \cdot 24

= 3 \cdot 24 x^{3} x^{4} y^{3} y^{2} + 2 \cdot 24 x^{3} y^{3}

Factor out common term

24 x^{3} y^{3}

= 24 x^{3} y^{3} (3 x^{4} y^{2} + 2)

a^{2} + 1 6^{2} = 2 0^{2}

3^{4}

x^{2} + 11 x + 18

2 + 3 (1 + 2 x) = 2 (2 + 3 x) - 3

- 17 < x - 12

What is factor 72x^7y^5+48x^3y^3 ?
The solution to factor 72x^7y^5+48x^3y^3 is 24x^3y^3(3x^4y^2+2)